Volume by disks, shells, or washers?

  • Thread starter KMcFadden
  • Start date
  • #1
KMcFadden
28
0
What is the easiest way to determine if the volume of a solid should be found by using disks, shells, or washers?
 

Answers and Replies

  • #2
encorelui2
7
0
Personally I always start with the shell method unless it is a really basic, simple shape(disk method)... But to answer ur question, I look for a hole. If there is one, then i am thinking washer, if there isnt and the solid is a very simple shape, then I go with the disk method. For the most complex shapes, i automatically go to the shell method.
 
  • #3
36,214
8,196
What is the easiest way to determine if the volume of a solid should be found by using disks, shells, or washers?
There is no one-size-fits-all guidance here. It depends on the function/functions that bound the region being revolved. The disk and washer methods are essentially the same, with the washer method being used if the typical volume element is a disk with a hole in it.

Sometimes one method produces an integral that's easier to evaluate, and sometimes another method does.
 

Suggested for: Volume by disks, shells, or washers?

  • Last Post
Replies
1
Views
3K
Replies
1
Views
2K
Replies
5
Views
2K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
5
Views
56K
  • Last Post
Replies
3
Views
22K
Replies
1
Views
398
Replies
1
Views
336
Replies
5
Views
46K
  • Last Post
Replies
1
Views
3K
Top